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Finding the Fourth Proportional to 293.94, 405.10 and 223.84

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Solution

The fourth proportional to 293.94, 405.10 and 223.84 is: 308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.94 : 405.10 = 223.84 : x
  2. Step 2: Convert to fraction form
    293.94/405.10 = 223.84/x
  3. Step 3: Cross multiply
    293.94x = 405.10 × 223.84
  4. Step 4: Simplify right side
    293.94x = 90,677.58
  5. Step 5: Solve for x
    x = 90,677.58/293.94
  6. Step 6: Final answer
    x = 308.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.